I'll add to this that statisticians taught me averages are actually meaningless when applied to individuals. The number is tied to a data set but that data set can be all over the place in terms of what it contains. You can't know where you're at relative to others in a data set just by comparing to an average. Unless it's the median where you know you're above or below the middle person without further data on what that means. Pretty useless.

From what I was taught, averages are mainly (or solely?) there to measure trends in sets of data. Basically, where it's collectively going over time. Applying it to individuals is meaningless. So, that feature should never exist unless you're intentionally exploiting psychology & common misinformation for personal gain. Example: showing players how they compare to an "average" so at least half of them think they're better than average and keep playing to get number higher. Another example: differentiating a software company with terrible defect rate by comparing it to the industry average, which is worse, in an industry full of shoddy software. The software looking good is still crap but "better than average." ;)